Finding the Fourth Proportional to 108.74, 163.14 and 96.44
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Solution
The fourth proportional to 108.74, 163.14 and 96.44 is: 144.69
Step by Step Solution
- Step 1: Write the proportion equation
108.74 : 163.14 = 96.44 : x - Step 2: Convert to fraction form
108.74/163.14 = 96.44/x - Step 3: Cross multiply
108.74x = 163.14 × 96.44 - Step 4: Simplify right side
108.74x = 15,733.22 - Step 5: Solve for x
x = 15,733.22/108.74 - Step 6: Final answer
x = 144.69
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.